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A special ten-year endowment insurance pays 1000 for survival to time 10, or a benefit at the end of the year of failure, whichever

A special ten-year endowment insurance pays 1000 for survival to time 10, or a benefit at the end of the year of failure, whichever occurs first. Let Z, denote the present value 7-10 random variable for this insurance if the failure benefit is 1000 10E, let Z, denote the present value random variable if the failure benefit is 75010E, and let Z, denote the present value random variable if the failure benefit is 500 10E Given also that E[Z] E[Z,] 57 and =1.005, calculate the value of E[Z].

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